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Finding the Fourth Proportional to 11,524.91, 15,870.91 and 10,011.78

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Solution

The fourth proportional to 11,524.91, 15,870.91 and 10,011.78 is: 13,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.91 : 15,870.91 = 10,011.78 : x
  2. Step 2: Convert to fraction form
    11,524.91/15,870.91 = 10,011.78/x
  3. Step 3: Cross multiply
    11,524.91x = 15,870.91 × 10,011.78
  4. Step 4: Simplify right side
    11,524.91x = 158,896,059.32
  5. Step 5: Solve for x
    x = 158,896,059.32/11,524.91
  6. Step 6: Final answer
    x = 13,787.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.